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Finding the Third Proportional to 200,990 and 425,812

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Solution

The third proportional to 200,990 and 425,812 is: 902,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,990 : 425,812 = 425,812 : x
  2. Step 2: Convert to fraction form
    200,990/425,812 = 425,812/x
  3. Step 3: Cross multiply
    200,990x = 425,812 × 425,812
  4. Step 4: Simplify right side
    200,990x = 181,315,859,344
  5. Step 5: Solve for x
    x = 181,315,859,344/200,990
  6. Step 6: Final answer
    x = 902,113.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.